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Finding the Third Proportional to 384.88 and 688.09

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Solution

The third proportional to 384.88 and 688.09 is: 1,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.88 : 688.09 = 688.09 : x
  2. Step 2: Convert to fraction form
    384.88/688.09 = 688.09/x
  3. Step 3: Cross multiply
    384.88x = 688.09 × 688.09
  4. Step 4: Simplify right side
    384.88x = 473,473.01
  5. Step 5: Solve for x
    x = 473,473.01/384.88
  6. Step 6: Final answer
    x = 1,230.20

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.